Wednesday
April 16, 2014

Homework Help: math,help

Posted by jasmine20 on Friday, April 20, 2007 at 4:26pm.

how can i factor this out completly

x^4+x^3-12


i know that4*-3=-12 but how can i get that middle term

x^2*x^2=x^4

first you cannot take out any GCF.
so if you decide to use grouping, you can create an equivalent problem:
x^4 + x^3 - 6 - 6
then by using grouping (the x-terms and the integers):
x^3 ( x + 1) - 6(1+1)
simplified, that is:
(x^3 - 6) - (x + 3) [combining the parentheses)
you can now simply factor out the x-cubed binomial with less difficulty.

as you could *probably* see, you cannot factor this, so using the quadratic formula:

x^3 + 0x -6
a = 1
b = 0
c = -6

-b +/- sqrt(b^2 - 4ac) / 2a

0 +/- sqrt(0 - 24) / 2

(since sqrt(-24) doesn't exist, you have to use i)

0 +/- 2 x 6i / 2

a) 0 + 2 x 6i / 2
12 i / 2
6 i

b) 0 -2 x 6i / 2
-12 i / 2
-6 i

so x could equal 6i or -6i

Sorry if this was tedious, but it wasn't easy. hope you understand.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

math,help,factoring - i need help i don't know how to do the next step. factor ...
Factoring - Factor Completely: 3t^3 + 5t^2 - 12t first take out the t so you ...
Simplifying Rational Expressions - 1.4x12 / 4x 2.d+7 / d^2-49 3.t^2-25 / t^2+t-...
find polynomial - zeros are i and (1+i) degree of the polynomial 4 constant term...
Math - Rewrite the middle term as the sum of two terms and then factor ...
algebra - this is what u do on your first problem....first u take out the ...
Math - 1.3x^2+17x+10 2.5y^8-125 3.a^2-2ab-15b^2 *Please help me.You have to ...
Algebra - How do I complete the square: 4x^2+3y^2+8x-6y-5=0 Also, is this a ...
mat 117/algebra - Find the GCF of each product. Please show the steps so I can ...
Please Check (Math2) - a^2-9 a^2-3a ----- * ------- a^2 a^2+a-12 *I got: 3-3a/4 ...

Search
Members